While dad expects Moroccan and Monroe "to get a PhD," Carey suggested that she wants them to follow in her footsteps. "They really respond to music," she said, before singing to the babies in their Manhattan nursery.

Lullabies may come easy for Carey – who brought them into the world to the tune of her song "Fantasy" – but opening herself up to marriage again was a different story.

"I never believe that anybody really likes me," she admitted after Cannon – who showed off his huge "Mariah" tattoo on his back – told her she's been his crush from day one. "I always think it's some kind of joke or something."

While Carey doesn't specifically address her music mogul ex-husband, Tommy Mottola, she does say that her failed marriage in 1998 made her hesitant to say "I do" a second time.

"Initially I was afraid of the concept of marriage [again]," she said. "But this is a different situation and a different time in my life."